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正交曲线坐标系二维浅水方程ELADI有限差分方法
引用本文:周刚,郑丙辉,胡德超,雷坤,乔飞.正交曲线坐标系二维浅水方程ELADI有限差分方法[J].水科学进展,2011,22(4):523-531.
作者姓名:周刚  郑丙辉  胡德超  雷坤  乔飞
作者单位:1.中国环境科学研究院环境基准与风险评估国家重点实验室 北京 100012;
基金项目:水体污染控制与治理科技重大专项(2008ZX07526-005;2009ZX07528-003)~~
摘    要:N-S方程数值模拟的精度和效率一直是计算流体力学的重要研究课题.结合欧拉-拉格朗日方法(ELM)和交替方向隐式方法( ADI)建立正交曲线坐标系二维浅水方程的ELADI (Eulerian-Lagrangian alternating direction implicit method)有限差分方法,详细阐述了基本原理...

关 键 词:二维  正交曲线  浅水方程  欧拉-拉格朗日方法  交替方向隐式方法
收稿时间:2010-05-26

ELADI finite difference method for 2D shallow water equation in the orthogonal curvilinear coordinate system
ZHOU Gang,ZHENG Bing-hui,HU De-chao,LEI Kun,QIAO Fei.ELADI finite difference method for 2D shallow water equation in the orthogonal curvilinear coordinate system[J].Advances in Water Science,2011,22(4):523-531.
Authors:ZHOU Gang  ZHENG Bing-hui  HU De-chao  LEI Kun  QIAO Fei
Institution:1.State Key Laboratory of Environmental Criteria and Risk Assessment, Chinese Research Academy of Environmental Sciences, Beijing 100012, China;2.Changjiang River Scientific Research Institute, Wuhan 430010, China
Abstract:Accuracy and efficiency are two key factors for the numerical simulation of N-S equations in computational fluid dynamics.In this paper,the Eulerian-Lagrangian alternating direction implicit(ELADI) finite difference method for 2D shallow water equations in orthogonal curvilinear coordinate system is extensively discussed together with the basic principle and discretization methods.The ELADI method combines the alternating direction implicit method(ADI) with the Eulerian-Lagrangian Method(ELM).The numerical ...
Keywords:2D  orthogonal curvilinear  shallow water equations  Eulerian-Lagrangian method  alternating direction implicit method  
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